JEE Main 2023 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 10 April 2023, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

Let a circle of radius

4

be concentric to the ellipse

15x^2 + 19y^2 = 285

. Then the common tangents are inclined to the minor axis of the ellipse at the angle

(1) $\frac{\pi}{3}$ Official answer
(2) $\frac{\pi}{4}$
(3) $\frac{\pi}{6}$
(4) $\frac{\pi}{12}$

Official answer

Option 1

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Common Tangent to Circle and Conic

Same idea in other shifts

Asked 9× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.